Question

Shelly has $175 to shop for jeans and sweaters. Each pair of jeans costs $25, each sweater costs $20, and she buys 8 items. Determine the number of pairs of jeans and sweaters Shelly bought.

Answer 1

Answer: 3 jackets and 5 sweaters

Explanation:

j = jeans s = sweaters

175 = 25j + 20s ---- this will calculate the cost

8 = j + s ----- how much she bought

j = 8 - s; plug this into the cost

175 = 25(8-s) + 20s

175 = 200 - 25 + 20s; subtract 200 on both sides

-25 = -5s divide -5 to isolate the s

s = 5 Shelly bought 5 sweaters

now plug s = 5 in how much she bought

8 = j + 5

j = 3 Shelly bought 3 jackets